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Finding the Fourth Proportional to 3,204.54, 4,807.89 and 1,354.86

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Solution

The fourth proportional to 3,204.54, 4,807.89 and 1,354.86 is: 2,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.54 : 4,807.89 = 1,354.86 : x
  2. Step 2: Convert to fraction form
    3,204.54/4,807.89 = 1,354.86/x
  3. Step 3: Cross multiply
    3,204.54x = 4,807.89 × 1,354.86
  4. Step 4: Simplify right side
    3,204.54x = 6,514,017.85
  5. Step 5: Solve for x
    x = 6,514,017.85/3,204.54
  6. Step 6: Final answer
    x = 2,032.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.